"conform closely to" is correct and usable in written English.
It is generally used when talking about someone or something adhering to standards or guidelines. For example, "The workers must conform closely to safety regulations in order to maintain a safe working environment."
All of the major Democratic campaigns have plans that conform closely to these principles.
Rice culture and ironworking, as well as marriage, birth, and death ceremonies, conform closely to the Javanese pattern, though often mixed with elements of Hindu origin.
The wind and pressure systems of the Pacific conform closely to the planetary system the patterns of air pressure and the consequent wind patterns that develop in the atmosphere of the Earth as a result of its rotation (Coriolis force) and the inclination of its axis (ecliptic) toward the Sun.
They conform closely to the notion of complexity that is used when visually inspecting TF images [1, 3].
Then, a titanium reconstruction plate was bent to conform closely to the form of the 3D model.
Experimental permeance data for several light gases in a mesoporous silica membrane are analyzed in detail and shown to conform closely to the Knudsen diffusion model.
Zoo Time conforms closely to the classic recipe for a Howard Jacobson novel.
Researchers are investigating the possibility of an aerogel-based antenna that conforms closely to the contours of the aircraft yet enables transmission and receiving in multiple directions.
After 1 day in culture, both cell types had spread and coalesced on the fibres to form a cell layer, which conformed closely to the underlying topography.
The predicted PSA values conformed closely to the measured values in the validation sets (R2 = 0.972).
We used a natural history of influenza for the core analysis that conforms closely to Ferguson et al. [8], [10].
